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Finding the Fourth Proportional to 209,978.07, 289,777.03 and 119,337.86

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Solution

The fourth proportional to 209,978.07, 289,777.03 and 119,337.86 is: 164,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.07 : 289,777.03 = 119,337.86 : x
  2. Step 2: Convert to fraction form
    209,978.07/289,777.03 = 119,337.86/x
  3. Step 3: Cross multiply
    209,978.07x = 289,777.03 × 119,337.86
  4. Step 4: Simplify right side
    209,978.07x = 34,581,370,637.36
  5. Step 5: Solve for x
    x = 34,581,370,637.36/209,978.07
  6. Step 6: Final answer
    x = 164,690.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.